We're dividing 35646 by 48 
Our goal is to divide 35646 by 48.

Step 1:
When dividing 3 by 48, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 48

Moving on to step 2:
If we divide 35 by 48, we get 0 and a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Grab the next digit (6) from the dividend, add it to 35, then carry on: 356 / 48

Moving on to step 3:
48 can be fit into 356 7 times, resulting in a remainder of 20.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtracting 336 from 356 leaves us with 20.
Bring next digit (4) of the dividend behind the 20 and repeat the process: 204 / 48

Moving on to step 4:
The number 48 fits into 204 4 times, leaving a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 74.0
The remainder is 12 after subtracting 192 from 204.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 48

On to step 5:
48 goes into 126 2 times with a remainder of 30.
Write down 2 as next digit of the result. 
Result so far: 742.0
Deduct 96 from 126 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 6:
300 divided by 48 is 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 742.6
Deduct 288 from 300 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 7:
120 divided by 48 is 2 with a remainder of 24.
Put 2 as the next digit of the answer. 
Result so far: 742.62
Subtracting 96 from 120 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 8:
If we divide 240 by 48, we get 5 and a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 742.625
The remainder is 0 after subtracting 240 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
48 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 742.625
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 10:
48 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 742.625
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 742.625 with a balance of 0.0.